工学数理の演習問題の更新(2): 上に凸の曲面(剛体) 上の棒の運動

概要

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In view of various types of pendulums provided at foreign universities and colleges, some representative educationmaterials are reexamined to show fundamental mechanical phenomena and to step up to higher level of PBL (ProblemBased Learning) resources. As one of such typical pendulums, considered is a physical pendulum in which a rigid barrocks on an above convex surface given by quadratic function. It works as a horizontal physical pendulum whose lineareigen-mode can be derived from Lagrange function to lead to an equation of motion. The period of oscillation in linearand nonlinear stage is checked numerically by solving its initial value problem. To obtain useful information from thosenumerical simulation and experiments to be planned, we may find the solving method for PBL to provide higher level ofmechanical resources in the cooperative education project and self-study.
2011-01-31